24. The following data were drawn from a hypothetical sample of 500 adults. Use a 0.05 significance level to test the claim that political affiliation and marital status are independent. a. Find the expected frequencies. b. Find the test statistic x. c. Find the critical value. d. What is the conclusion about the null hypothesis (reject or fail to reject)? Married Not married Democrat 124 136 Republican 122 118

The U.S. National Center for Health Statistics complies birth statistics and publishes the results in vital statistics of the United States. The Center has historically believed that the mean of all newborns in the U.S. has been no less than 6.95 pounds. A sample of babies is selected so that the center can revise its belief. The following birth weights, in pounds are recorded: 7.4, 6.0, 8.6, 4.5, 2.0, 7.9, 4.0, 2.6, 5.9, 7.3, 7.3, 7.0, 6.3, 8.1, 7.1, 7.3, 6.6, 5.2, 9.8, 8.0, 10.9, 6.5, 3.8, 5.0, 8.0 a). At 5% level of significance, do these data provide sufficient evidence to refute the Center’s belief? Your conclusion must be in terms of the P-Value as well as setting up a Rejection Region. You must show all necessary work. b). Which statistical distribution should be applied in this situation and why? Explain carefully.

3. Health officials from DOH who have studied a particular virus say that 50% of all the Filipino people have had the virus. If a random sample of 144 people is taken, what is the mean value? a. 43 b. 57 c. 72 d. 84

A hospital has a main campus and three satellite locations. Management wants to reduce waiting time for ER cases. A random sample of 11 ER cases at each location was selected, and the waiting time was measured. Excel.) Complete parts (a) through (d) to determine if there is statistical evidence of a difference in the mean waiting times betweeen the four locations. a. State the two hypotheses. Choose the correct answer below. O B. Ho: H1 = H2 = ••• = H4 H;: 41 H2# • • • # µ4 O A. Ho: H1 =H2 = ••• = H4 H;: Not all H are equal (where j= 1,2,.4) OC. Họ: H1 = H2 = • •• = H1 H;: 41 # H2# • •• #H11 D. Ho: H1 = H2= • •• - H11 H;: Not all H; are equal (where j= 1,2,.,11) b. At the 0.05 level of significance, state the test statistic. (Round to two decimal places to the right of the decimal point as needed.) O A. FSTAT = 0.005 , from the first row of the ANOVA table O B. FSTAT = 4.91 , from the first row of the ANOVA table O C. FSTAT = 2.05 , from the first row of the ANOVA table O D. FSTAT =…

b. What is the median giraffe height? ft. c. What is the Z-score for a giraffe that is 19 foot talL? d. What is the probability that a randomly selected giraffe will be shorter than 18.7 feet tall? e. What is the probability that a randomly selected giraffe will be between 19 and 19.8 feet tall? f. The 85th percentile for the height of giraffes is ft.